On an extremum problem

1 January 1987

journal article
research article
Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Vol. 28 (3) , 376-392
https://doi.org/10.1017/s0334270000005464

Abstract

We consider an optimization problem in which the function being minimized is the sum of the integral functional and the full variation of control. For this problem, we prove the existence theorem, a necessary condition in an integral form and a local necessary condition in the case of monotonic controls.

Keywords

FUNCTIONAL
EXTREMUM PROBLEM
MONOTONIC
THEOREM
MINIMIZED
SUM
OPTIMIZATION PROBLEM
PROBLEM WE CONSIDER

This publication has 1 reference indexed in Scilit:

Application of the Extremum Principle to Investigating Certain Extremal Problems
Transactions of the American Mathematical Society, 1980